What is the Greatest Common Factor of 31224 and 31232?

Greatest common factor (GCF) of 31224 and 31232 is 8.

GCF(31224,31232) = 8

We will now calculate the prime factors of 31224 and 31232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 31224 and 31232.

How to find the GCF of 31224 and 31232?

We will first find the prime factorization of 31224 and 31232. After we will calculate the factors of 31224 and 31232 and find the biggest common factor number .

Step-1: Prime Factorization of 31224

Prime factors of 31224 are 2, 3, 1301. Prime factorization of 31224 in exponential form is:

31224 = 2³ × 3¹ × 1301¹

Step-2: Prime Factorization of 31232

Prime factors of 31232 are 2, 61. Prime factorization of 31232 in exponential form is:

31232 = 2⁹ × 61¹

Step-3: Factors of 31224

List of positive integer factors of 31224 that divides 31224 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1301, 2602, 3903, 5204, 7806, 10408, 15612

Step-4: Factors of 31232

List of positive integer factors of 31232 that divides 31224 without a remainder.

1, 2, 4, 8, 16, 32, 61, 64, 122, 128, 244, 256, 488, 512, 976, 1952, 3904, 7808, 15616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 31224 and 31232. The biggest common factor number is the GCF number.
So the greatest common factor 31224 and 31232 is 8.

Also check out the Least Common Multiple of 31224 and 31232